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On the controllability of control constrained linear systems. (English) Zbl 0681.93009

Summary: The notion of controllability index is extended to control constrained linear systems. An exact estimate of the growth of the reachable set for small time intervals is proved. The robustness of the instant local controllability is discussed.

MSC:

93B05 Controllability
93B03 Attainable sets, reachability
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
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